Home / 512,431-814,266

Finding the Third Proportional to 512,431 and 814,266

Calculator

Solution

The third proportional to 512,431 and 814,266 is: 1,293,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,431 : 814,266 = 814,266 : x
  2. Step 2: Convert to fraction form
    512,431/814,266 = 814,266/x
  3. Step 3: Cross multiply
    512,431x = 814,266 × 814,266
  4. Step 4: Simplify right side
    512,431x = 663,029,118,756
  5. Step 5: Solve for x
    x = 663,029,118,756/512,431
  6. Step 6: Final answer
    x = 1,293,889.56

Related Problems

Find third proportional to 256,215.50 and 407,133
Half scale
Find third proportional to 1,024,862 and 1,628,532
Double scale
Find third proportional to 512,433 and 814,269
Similar ratio
Find third proportional to 768,646.50 and 1,221,399
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.